%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT028-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:36:46 PM UTC 2026
% Result : Unsatisfiable 3.46s 1.37s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 16 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f493,axiom,
! [X2,X0,X1] :
( X0 = X1
| X0 = X1
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__mktop_4) ).
fof(f495,axiom,
! [X0,X1] :
( c_in(c_Arrow__Order__Mirabelle_Omktop(X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mktop__Lin_0) ).
fof(f566,axiom,
v_a != v_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_0) ).
fof(f573,axiom,
c_in(v_R____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f574,negated_conjecture,
! [X0] :
( ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f606,plain,
! [X2,X0,X1] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f493]) ).
fof(f613,plain,
! [X0] :
( v_a = v_b
| ~ c_in(c_Arrow__Order__Mirabelle_Omktop(X0,v_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(resolution,[],[f606,f574]) ).
fof(f614,plain,
! [X0] : ~ c_in(c_Arrow__Order__Mirabelle_Omktop(X0,v_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(forward_subsumption_resolution,[],[f613,f566]) ).
fof(f619,plain,
! [X0] : ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(resolution,[],[f495,f614]) ).
fof(f621,plain,
$false,
inference(resolution,[],[f619,f573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT028-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n006.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 23:30:25 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.46/1.37 % (3447648)Input is clausal, will run a generic CNF schedule.
% 3.46/1.37 % (3447657)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2579978440:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.46/1.37 % (3447656)lrs+10_1_sil=8000:sp=occurrence:random_seed=2129693935:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.46/1.37 % (3447659)dis-21_1_sil=8000:lcm=predicate:random_seed=1240635530:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.46/1.37 % (3447653)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3119747578:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.46/1.37 % (3447654)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3871292016:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.46/1.37 % (3447655)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2961754306:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.46/1.37 % (3447658)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=583228396:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.46/1.37 % (3447656)Refutation not found, incomplete strategy
% 3.46/1.37 % (3447656)------------------------------
% 3.46/1.37 % (3447656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.37 % (3447656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.37 % (3447656)CaDiCaL version: 2.1.3
% 3.46/1.37 % (3447656)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.37 % (3447656)Time elapsed: 0.003 s
% 3.46/1.37 % (3447656)Peak memory usage: 88 MB
% 3.46/1.37 % (3447656)Instructions burned: 2 (million)
% 3.46/1.37 % (3447658)First to succeed.
% 3.46/1.37 % (3447658)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3447648"
% 3.46/1.37 % (3447657)Instruction limit reached!
% 3.46/1.37 % (3447657)------------------------------
% 3.46/1.37 % (3447657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.37 % (3447657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.37 % (3447657)CaDiCaL version: 2.1.3
% 3.46/1.37 % (3447657)Termination reason: Instruction limit
% 3.46/1.37 % (3447657)Termination phase: Saturation
% 3.46/1.37 % (3447657)Time elapsed: 0.042 s
% 3.46/1.37 % (3447657)Peak memory usage: 88 MB
% 3.46/1.37 % (3447657)Instructions burned: 116 (million)
% 3.46/1.37 % (3447659)Instruction limit reached!
% 3.46/1.37 % (3447659)------------------------------
% 3.46/1.37 % (3447659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.37 % (3447659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.37 % (3447659)CaDiCaL version: 2.1.3
% 3.46/1.37 % (3447659)Termination reason: Instruction limit
% 3.46/1.37 % (3447659)Termination phase: Saturation
% 3.46/1.37 % (3447659)Time elapsed: 0.071 s
% 3.46/1.37 % (3447659)Peak memory usage: 89 MB
% 3.46/1.37 % (3447659)Instructions burned: 118 (million)
% 3.46/1.37 % (3447667)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3586279950:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.46/1.37 % (3447667)Refutation not found, incomplete strategy
% 3.46/1.37 % (3447667)------------------------------
% 3.46/1.37 % (3447667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.37 % (3447667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.37 % (3447667)CaDiCaL version: 2.1.3
% 3.46/1.37 % (3447667)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.37 % (3447667)Time elapsed: 0.001 s
% 3.46/1.37 % (3447667)Peak memory usage: 88 MB
% 3.46/1.37 % (3447667)Instructions burned: 2 (million)
% 3.46/1.37 % (3447668)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2888796730:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.46/1.37 % (3447668)Refutation not found, incomplete strategy
% 3.46/1.37 % (3447668)------------------------------
% 3.46/1.37 % (3447668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.37 % (3447668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.37 % (3447668)CaDiCaL version: 2.1.3
% 3.46/1.37 % (3447668)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.37 % (3447668)Time elapsed: 0.013 s
% 3.46/1.37 % (3447668)Peak memory usage: 89 MB
% 3.46/1.37 % (3447668)Instructions burned: 23 (million)
% 3.46/1.37 % (3447656)------------------------------
% 3.46/1.37 % (3447656)------------------------------
% 3.46/1.37 % (3447658)Refutation found. Thanks to Tanya!
% 3.46/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.46/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.37 % (3447658)------------------------------
% 3.46/1.37 % (3447658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.37 % (3447658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.37 % (3447658)CaDiCaL version: 2.1.3
% 3.46/1.37 % (3447658)Termination reason: Refutation
% 3.46/1.37 % (3447658)Time elapsed: 0.013 s
% 3.46/1.37 % (3447658)Peak memory usage: 88 MB
% 3.46/1.37 % (3447658)Instructions burned: 24 (million)
% 3.46/1.37 % (3447658)------------------------------
% 3.46/1.37 % (3447658)------------------------------
% 3.46/1.37 % (3447648)Success in time 0.443 s
% 3.46/1.37 % Vampire exiting
%------------------------------------------------------------------------------